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dexar [7]
3 years ago
9

A small airplane flies 1050 miles with an average speed of 300 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 l

eaves from the same point. Both planes arrive at the same time; what was the average speed of 747?

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

We need to finish writing out the problem using what we know about the distance both planes traveled.

Plane 1 - 1050 miles - 300 mph - ? time

Plane 2 - 1050 miles - same time as Plane 1 less 1.75 hours.

Let's fill in the gaps.

Plane 1 - ? time 1050/300 = 3.5 hours

Plane 2 - ? time Take 3.5 hours and subtract 1.75 = 1.75 hours

Now we figure the speed of plane 2

1050/1.75 = 600 miles an hour

Another quick way was to note that 1.75 was half of 3.5 hours so the speed was 2x as fast!

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Answer:

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Step-by-step explanation:

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3 years ago
In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a
ZanzabumX [31]

Answer:

There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.

Step-by-step explanation:

We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a: \pi_1-\pi_2\neq0

The significance level is assumed to be α=0.05

The suburban sample has  a proportion of

p_1=36/60=0.6

The downtown sample has a proportion of

p_2=31/50=0.62

The average of proportion is:

p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{60*0.60+50*0.62}{60+50}=\frac{67}{110}=0.61

The standard deviation of the difference of proportions is:

s_{p1-p2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.61*0.39}{60} +\frac{0.61*0.39}{50} }\\\\s_{p1-p2}=\sqrt{0.003965+0.004758}=0.0934

Then, we can calculate the value of the statistic z

z=\frac{p_1-p_2}{s}=\frac{0.60-0.62}{0.0934}=\frac{-0.02}{0.0934} =  0.214

The P-value for this z is:

P(|z|>0.214)=0.83054

The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.

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ira [324]

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

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More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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